Crossword Genius

A job to do when it's dusty out? (4)

Ross

I believe the answer is:

duty

I'm a little stuck... Click here to teach me more about this clue!

'a job' is the definition.
(thesaurus)

'do when it's dusty out?' is the wordplay.
I cannot really understand how this works, but
'do' could be 'ut' (synonyms) and 'ut' is found within the answer.
This explanation may well be incorrect...

'to' acts as a link.

Can you help me to learn more?

(Other definitions for duty that I've seen before include "Not subject to customs tax" , "Service - tax - office" , "assignment" , "Is one bound" , "Task; military service" .)

I've seen this clue in the Evening Standard.
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